论文标题

操纵手性多通道近托模型中的非亚洲人

Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

论文作者

Lotem, Matan, Sela, Eran, Goldstein, Moshe

论文摘要

非亚伯式的人是被认为描述某些拓扑超导体或量子霍尔状态的拓扑模型的分数激发。在这里,我们提供了第一个数值证据,即它们在无间隙电子模型中也成为独立实体。从多冲式多通道性手性围栏模型开始,我们将新颖的映射引入了一个单障碍模型,这是威尔逊的数值重新归一化组。我们提取其光谱退化结构和分数熵,并计算出$ f $矩阵,该矩阵直接通过杂质自旋旋转相关性编码有关辫子的拓扑信息。因此,在实现具有手性边缘的多通道近野系统方面的令人印象深刻的进步可能会使任何人更快地进入现实。

Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states. Here, we provide the first numerical evidence that they emerge as independent entities also in gapless electronic models. Starting from a multi-impurity multichannel chiral Kondo model, we introduce a novel mapping to a single-impurity model, amenable to Wilson's numerical renormalization group. We extract its spectral degeneracy structure and fractional entropy, and calculate the $F$ matrices, which encode the topological information regarding braiding of anyons, directly from impurity spin-spin correlations. Impressive recent advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源